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Finding the Third Proportional to 360,678 and 519,525

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Solution

The third proportional to 360,678 and 519,525 is: 748,330.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,678 : 519,525 = 519,525 : x
  2. Step 2: Convert to fraction form
    360,678/519,525 = 519,525/x
  3. Step 3: Cross multiply
    360,678x = 519,525 × 519,525
  4. Step 4: Simplify right side
    360,678x = 269,906,225,625
  5. Step 5: Solve for x
    x = 269,906,225,625/360,678
  6. Step 6: Final answer
    x = 748,330.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.